If mary has to double the size of her garden and he garden is orginally 8 feet...all u do is double 8 which is 16!
Answer:
the product is equal to the number. When a positive whole number is multiplied by a fraction greater than 1. When a positive whole number is multiplied by a fraction between 0 and 1, the product is less than the whole number.
Step-by-step explanation:
We know that X + Y = 260 and that 0.55X + 0.75Y = 170 So X = 260 - Y now plug it in the other equation and solve <span>or try to multiply first equation with -0.55 and then aggregate with another one. hope this helps :)</span>
Answer:
Option b. 12
Step-by-step explanation:
This exercise asks us to find the derivative of a function using the definition of a derivative.
Our function is
. Therefore:
![f(2+h) = (2+h)^{3}](https://tex.z-dn.net/?f=f%282%2Bh%29%20%3D%20%282%2Bh%29%5E%7B3%7D)
![f(2) = (2)^{3} = 8](https://tex.z-dn.net/?f=f%282%29%20%3D%20%282%29%5E%7B3%7D%20%3D%208)
Then:
![\lim_{h \to \0} \frac{f(2+h)-f(2)}{h}=\lim_{h \to \0} \frac{(2+h)^{3}-8}{h}](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%20%5C0%7D%20%5Cfrac%7Bf%282%2Bh%29-f%282%29%7D%7Bh%7D%3D%5Clim_%7Bh%20%5Cto%20%5C0%7D%20%5Cfrac%7B%282%2Bh%29%5E%7B3%7D-8%7D%7Bh%7D)
Expanding:
![\lim_{h \to \0} \frac{(2+h)^{3}-8}{h} =\lim_{h \to \0} \frac{8+ h^{3} +6h(2+h) -8}{h} =\lim_{h \to \0} \frac{h^{3} +6h(2+h)}{h}](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%20%5C0%7D%20%5Cfrac%7B%282%2Bh%29%5E%7B3%7D-8%7D%7Bh%7D%20%3D%5Clim_%7Bh%20%5Cto%20%5C0%7D%20%5Cfrac%7B8%2B%20h%5E%7B3%7D%20%2B6h%282%2Bh%29%20-8%7D%7Bh%7D%20%3D%5Clim_%7Bh%20%5Cto%20%5C0%7D%20%5Cfrac%7Bh%5E%7B3%7D%20%2B6h%282%2Bh%29%7D%7Bh%7D)
![\lim_{h \to \0} \frac{h^{3}+ 6h(2+h)}{h} =\lim_{h \to \0} h^{2} + 6(2+h)](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%20%5C0%7D%20%5Cfrac%7Bh%5E%7B3%7D%2B%206h%282%2Bh%29%7D%7Bh%7D%20%3D%5Clim_%7Bh%20%5Cto%20%5C0%7D%20h%5E%7B2%7D%20%2B%206%282%2Bh%29%20)
Now, if x=0:
![\lim_{h \to \0} \frac{f(2+h)-f(2)}{h} = (0)^{2} +6(2+0) = 12](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%20%5C0%7D%20%5Cfrac%7Bf%282%2Bh%29-f%282%29%7D%7Bh%7D%20%3D%20%280%29%5E%7B2%7D%20%2B6%282%2B0%29%20%3D%2012)
S5=10 means the 5th number is 10.
So the arithmetic sequence is s1, s2,s3, s4, 10